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Finding the Fourth Proportional to 283.12, 427.78 and 281.50

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Solution

The fourth proportional to 283.12, 427.78 and 281.50 is: 425.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.12 : 427.78 = 281.50 : x
  2. Step 2: Convert to fraction form
    283.12/427.78 = 281.50/x
  3. Step 3: Cross multiply
    283.12x = 427.78 × 281.50
  4. Step 4: Simplify right side
    283.12x = 120,420.07
  5. Step 5: Solve for x
    x = 120,420.07/283.12
  6. Step 6: Final answer
    x = 425.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.